Geometry Review #3

Right Triangles

100

Is a triangle with sides 5, 12, and 13 a right triangle?

Yes it is a right triangle

200

What is the length of the hypotenuse if the legs of the right triangle are 7 and 9?  Please round to the nearest tenth.  

11.4

300

Given a right triangle with an acute angle of 20 degrees and the hypotenuse of 18 cm.  What is the length of the opposite leg in the triangle?  

6.2 cm

400

A right triangle has two legs which are 4 and 8cm.  What are the measurements of the two acute angles?

63 degrees and 27 degrees

500

Given a 45-45-90 triangle with a hypotenuse of 40 cm.  What is the length of the leg?

20 square root of 2

Radically Speaking

100

WITHOUT A CALCULATOR

Between which two integers is the square root of 70 

Between 8 and 9

200

What is the simplified answer to the square root of 28?

2 square root of 7

300

Compute square root 16 times square root 27

ANSWER IN RADICAL FORM PLEASE!

12 square root of 3

400

Compute 14 divided by square root of 2

Radical Form please!

7square root 2

500

Simplify 8square root of 27xcubed

24xsquare root 3x

Circles

100

What measure is the intercepted arc if the central angle is 72 degrees

72 degrees

200

A circle is made up of 3 arcs.  One arc is x+30, the second one is 2x - 60 and the third is 100 - x.  What is the value of x? 

x = 195

300

What is the area of the circle whose circumference is 20pi?

100 pi or 314

400

What is the circumference of a circle with an area of 144pi?

24pi   or 75.36

500

Two intersecting lines form an angle inside a circle that is NOT from the center.  The arcs the angle intersects measure 28 and 190 degrees.  What is the angle measurement?  

109 degrees

Geometry speaking

100

What geometry word best describes the tip of a pencil?

a point

200

What geometry word can be used to describe something with a definite start and end point, like a pencil?

line segment

300

What geometry word can be used to describe the light that shines starting at the sun and going out for what seems like forever?

ray

400

What geometry word best describes the surface of your desk?

plane

500

What Geometry word means same shape and size?

congruent

Area

100

What is the area of a trapezoid with a height of 8 and the parallel sides 11 and 15?

104

200

What is the area of a semicircle with a diameter of 10 cm?

12.5 pi          or 39.25

300

What is the height of a triangle with a base of 8 cm and an area of 24 sq cm?

6 cm

400

What is the height of a parallelogram if its base is 9.8 inches and the Area is 107.8 sq in?

11 inches

500

What is the height of a trapezoid if the area is 37.8 sq cm and the bases are 3.6 cm and 9?

6